Relay-based closed loop transfer function frequency points estimation

In this paper, the following frequency response estimation problem is addressed: Given a closed loop transfer function, such as the loop transfer function or the sensitivity function, find a frequency for which it achieves a user-defined magnitude. The procedure presented here is based on a relay fe...

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Bibliographic Details
Published in:Automatica (Oxford) 2003-02, Vol.39 (2), p.309-315
Main Authors: de Arruda, G.H.M., Barros, P.R.
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control theory. Systems
Exact sciences and technology
Frequency-domain identification
Miscellaneous
Modelling and identification
Relay feedback
Transfer function estimation
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Summary:In this paper, the following frequency response estimation problem is addressed: Given a closed loop transfer function, such as the loop transfer function or the sensitivity function, find a frequency for which it achieves a user-defined magnitude. The procedure presented here is based on a relay feedback, which makes it suitable to apply to actual systems. In addition to the frequency, the system phase at that frequency is computed simultaneously. The procedure can be used to evaluate and redesign controllers.
ISSN:0005-1098
1873-2836
DOI:10.1016/S0005-1098(02)00205-4